[granzer]

While going through Anderson book i read this paragraph:1.PNG Here both the strong and weak forms of the equations are given in terms of differential form without any specific explanation. I thought differential forms where strong form and the integral forms where in the weak form. Can you please shed some light on the topic. Also here it talking about the strong and the weak form of conservation form of the equation. Does that mean non-conservation form doesn't have strong and weak form? (Here hardly any thing is told about non-conservation form ...any more info on that too will be helpful. I know its also best to use conservation form for numerical method...where is non conservation form used?)

[FMDenaro]

This is a mathematical topic on PDE, it is not strictly a fluid dynamics or CFD issue. You can find a lot of hystorical literature about that.
In terms of the CFD framework, I suggesto to read the dedicated section in the textbook of Leveque where it is explained the concept of weak solution and it is demonstrate the link between the weak formulation and the volume integral formulation of the conservation laws.

[granzer]

Originally Posted by FMDenaro

This is a mathematical topic on PDE, it is not strictly a fluid dynamics or CFD issue. You can find a lot of hystorical literature about that.
In terms of the CFD framework, I suggesto to read the dedicated section in the textbook of Leveque where it is explained the concept of weak solution and it is demonstrate the link between the weak formulation and the volume integral formulation of the conservation laws.

Is the book "Numerical methods for conservation law"?

[FMDenaro]

Originally Posted by granzer

Is the book "Numerical methods for conservation law"?

it is explained also in the more recent https://www.cambridge.org/core/books...D52EAD6909E2B9